分数 Orlicz-Sobolev 空间中的多值椭圆包容

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-05-09 DOI:10.1007/s11785-024-01541-1

H. El-Houari, S. Hajar, H. Moussa

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引用次数: 0

摘要

在这项研究中，我们分析了一类具有 Direchlet 边界条件的有界域上的非局部多值椭圆问题的非微观解的存在性。所采用的主要技术包括应用于分数 Orlicz-Sobolev 空间的局部 Lipschitz 函数的变分法。我们的主要结果将文献中的一些最新发现推广到了非光滑情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multivalued Elliptic Inclusion in Fractional Orlicz–Sobolev Spaces

In this research, we analyze the existence of nontrivial solution for a class of non-local multivalued elliptic problems on bounded domain with Direchlet boundary condition. The primary techniques employed consist of variational methods for Locally Lipschitz functional applied to fractional Orlicz–Sobolev space. Our main results generalize some recent findings in the literature to non-smooth cases.

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.